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arXiv · 2203.16725

A class of singular bilinear maximal functions

Michael Christ·Zirui Zhou
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Abstract

Lebesgue space bounds $L^{p_1}({\mathbb R}^1) \times L^{p_2}(^1) \to L^q({\mathbb R}^1)$ are established for certain maximal bilinear operators. The proof combines a trilinear smoothing inequality with Calder\'on-Zygmund theory. A reference to overlapping work of other authors on one observation has been added.

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Michael Christ, Zirui Zhou. 2022-03-31. A class of singular bilinear maximal functions. https://arxiv.org/abs/2203.16725

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